Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book's results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read inde...

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Bibliographic Details
Main Author: Anastassiou, George A. (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Studies in Computational Intelligence, 734
Subjects:
Computational intelligence.
Artificial intelligence.
Computational Intelligence.
Artificial Intelligence.
Online Access:Full-text access
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Table of Contents:
  • A strong left Fractional Calculus for Banach space valued functions
  • Strong Right Abstract Fractional Calculus
  • Strong mixed and generalized Abstract Fractional Calculus
  • Foundations of General Fractional Analysis for Banach space valued functions
  • Vector abstract fractional Korovkin Approximation
  • Basic Abstract Korovkin theory
  • High Approximation for Banach space valued functions
  • Vectorial abstract fractional approximation using linear operators
  • Abstract fractional trigonometric Korovkin approximation
  • Multivariate Abstract Approximation for Banach space valued functions
  • Arctangent function based Abstract Neural Network approximation. .

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